Mathematics B - Edexcel
কোর্স ইন্সট্রাক্টর
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কোর্সটি করে যা শিখবেন
- Demonstrate knowledge, understanding and skills in number and algebra: numbers and the numbering system, calculations, solving numerical problems, equations, formulae and expressions, sequences, functions and graphs, matrices.
- Demonstrate knowledge, understanding and skills in shape, space and measures: geometry, vectors and transformation geometry, trigonometry.
- Demonstrate knowledge, understanding and skills in handling data: statistics, probability.
ক্লাস রুটিন
Modules | Lessons | Key Exercises |
---|---|---|
Module 1: Number |
• The ordinary processes of number manipulation |
TBA |
Module 2: Sets | • The idea of a set • Set language and notation • Union and intersection of sets • Number of elements in a set • Complementary sets • Subsets • Universal set, null set • Venn diagrams and their use in a simple logical problem • Use of symbols to represent sets |
TBA |
Module 3: Algebra |
• The basic processes of algebra |
TBA |
Module 4: Functions | • The idea of a function of a variable • Function as a mapping or as a correspondence between the elements of two sets • Use functional notations of the form f(x) and f:x • Domain and range of a function • Composite functions • Inverse functions • Variation, direct and indirect proportion • Rectangular cartesian coordinates • Graphs and graphical treatment of equations including quadratic, in which the constants are numerical and at least three of them are zero • The gradients of graphs by drawing • Differentiation of integer powers of x • Determination of gradients, rates of change, maxima and minima, stationary points • Applications to linear kinematics and to other simple practical problems |
TBA |
Module 5: Matrices | • Representation of data by a matrix • Addition and multiplication of matrices • Multiplication of a matrix by a scalar • Unit (identity) matrix and zero (null) matrix • Determinants and inverses of non-singular 2 x 2 matrices • Transformations of the plane associated with 2 x 2 matrices • Combination of transformations |
TBA |
Module 6: Geometry | • Geometrical properties of Euclidean space • Angle properties of parallel lines, triangles and polygons, including regular polygons • Properties of the parallelogram, rectangle, square, rhombus, trapezium and kite • Symmetry about a point, line or plane • Use of Pythagoras’ theorem in 2D and 3D • Similarity: areas and volumes of similar figures • Congruent shapes • Chord, angle and tangent properties of circles • Loci in 2 dimensions • Constructions of bisector of an angle and of perpendicular bisector (mediator) of a straight line |
TBA |
Module 7: Mensuration | • Length, area, volume • Mensuration of two-dimensional shapes, rectangle, parallelogram, trapezium, triangle, circle • Mensuration of the three-dimensional shapes, right circular cylinder, right circular cone and sphere, cuboid, pyramid, prism • Length of an arc, area of a sector of a circle |
TBA |
Module 8: Vectors | • Scalar and vector quantities • Understand and use vector notation • Representation of a vector by a directed line segment • Parallel vectors, unit vectors • Sum and difference of two vectors • Modulus (magnitude) of a vector • Multiplication of a vector by a scalar • Find the resultant of two or more vectors • Apply vector methods to simple geometrical problems • Multiplication of a vector by a matrix |
TBA |
Module 9: Trigonometry | • Use of sine, cosine and tangent of angles up to 180 degrees • Solution of problems in 2 and 3 dimensions by calculation and by drawing • Angles of elevation and depression • Bearings |
TBA |
Module 10: Statistics and probability | • Graphical representation of numerical data • Determination of the mean, median and mode for a discrete data set • Calculation of an estimate of the mean of a larger number of quantities given in grouped frequencies • Determination of a modal class and the median for grouped data • Understand the language and basic concepts of probability • Use of addition rule for two or more mutually exclusive events • Use of product rule for two or more independent events • Determination of the probability of two or more independent events • Using simple conditional probability for combined events • Using very simple conditional probability |
TBA |